32434113252400 has 120 divisors (see below), whose sum is σ = 79248008249280. Its totient is φ = 12754442987520.

The previous prime is 32434113252377. The next prime is 32434113252493. The reversal of 32434113252400 is 425231143423.

It is a super-2 number, since 2×32434113252400² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5160234 + ... + 9565366.

It is an arithmetic number, because the mean of its divisors is an integer number (660400068744).

Almost surely, 2^{32434113252400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32434113252400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39624004124640).

32434113252400 is an abundant number, since it is smaller than the sum of its proper divisors (46813894996880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32434113252400 is a wasteful number, since it uses less digits than its factorization.

32434113252400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4405463 (or 4405452 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

Adding to 32434113252400 its reverse (425231143423), we get a palindrome (32859344395823).

The spelling of 32434113252400 in words is "thirty-two trillion, four hundred thirty-four billion, one hundred thirteen million, two hundred fifty-two thousand, four hundred".